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3 years ago

When does it reach maximum height? H(t)=-16t^2+112t+288

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

Answer:

484 feet maximum

Step-by-step explanation:

H(t)=-16t^2+112t+288

The maximum height occurs at the vertex of this graph.

Let us find the vertex.

vertex x-coordinate = -b/2a

x = -b/2a = -(112)/ (2*-16) = 7/2 sec.

H(7/2) = - 16 *(7/2)^2 + 112*(7/2) + 288

H(7/2) = -196 + 392 + 288 = 484 feet ..

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3 years ago

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umka21 [38]

The standard form of equation is: 4x+2y = -13

Step-by-step explanation:

the standard form of a linear equation in two variables is given by:

$ax+by = c$

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Adding 4x on both sides

$4x+2y+5 = -4x-8+4x\\4x+2y+5 = -8$

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3 years ago

A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean isx⎯ ⎯ x¯ = 840 and

gayaneshka [121]

Answer:

$(832.156, \ 847.844)$

Step-by-step explanation:

Given data :

Sample standard deviation, s = 15

Sample mean, $\overline x = 840$

n = 23

a). 98% confidence interval

$\overline x \pm t_{(n-1, \alpha /2)}. \frac{s}{\sqrt{n}}$

$$E= t_{( n-1, \alpha/2 )} \frac{s}{\sqrt n}}$

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$E = 7.844$

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$(\overline x - E, \overline x + E)$

$(840-7.844 , \ 840+7.844)$

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2 years ago

Express in kg: 3470 grams<br>4 kg 8 g

Airida [17]

Answer:

Step-by-step explanation:

This Makes no sense but this is 4kg and 8g converted to Kg :

4kg - 8g = 4.008 kg

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3 years ago